Hi and welcome to fixya.
To answer your question;
From your description of the problem it sounds like your powered subwoofer has a power supply circuit problem.
It would be either with the large capacitors in the first stage of the supply(most likely) or with the regulation system that supplies +-15 volts to the preamp section.
If you are not familiar with electronic circuits you could still ask a repair shop to verify those large capacitors.
Hope this help and happy holidays.
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